| correct_response_made | ||
|---|---|---|
| Predictors | Odds Ratios | SE |
| age scaled | 1.2779 | 0.0482 |
| learning trial scaled | 1.6933 | 0.0341 |
| reward condition1 | 1.6760 | 0.0456 |
| block number scaled | 1.2739 | 0.0359 |
|
age scaled × learning trial scaled |
1.1295 | 0.0228 |
|
age scaled × reward condition1 |
1.0923 | 0.0298 |
|
learning trial scaled × reward condition1 |
1.1689 | 0.0181 |
|
age scaled × block number scaled |
0.9848 | 0.0280 |
|
learning trial scaled × block number scaled |
1.0768 | 0.0177 |
|
reward condition1 × block number scaled |
1.0705 | 0.0246 |
|
age scaled × learning trial scaled × reward condition1 |
1.0624 | 0.0167 |
|
(age scaled × learning trial scaled) × block number scaled |
1.0138 | 0.0170 |
|
(age scaled × reward condition1) × block number scaled |
0.9966 | 0.0232 |
|
(learning trial scaled × reward condition1) × block number scaled |
1.0220 | 0.0159 |
|
(age scaled × learning trial scaled × reward condition1) × block number scaled |
1.0148 | 0.0161 |
| Random Effects | ||
| σ2 | 3.29 | |
| τ00 subject_id | 0.17 | |
| τ11 subject_id.re1.learning_trial_scaled | 0.02 | |
| τ11 subject_id.re1.reward_condition1 | 0.07 | |
| τ11 subject_id.re1.block_number_scaled | 0.08 | |
| τ11 subject_id.re1.learning_trial_scaled_by_reward_condition1 | 0.00 | |
| τ11 subject_id.re1.learning_trial_scaled_by_block_number_scaled | 0.01 | |
| τ11 subject_id.re1.reward_condition1_by_block_number_scaled | 0.04 | |
| τ11 subject_id.re1.learning_trial_scaled_by_reward_condition1_by_block_number_scaled | 0.00 | |
| ρ01 | ||
| ρ01 | ||
| ICC | 0.05 | |
| N subject_id | 151 | |
| Observations | 38352 | |
| Marginal R2 / Conditional R2 | 0.161 / 0.203 | |
| correct_response_made | ||
|---|---|---|
| Predictors | Odds Ratios | SE |
| age scaled | 1.0717 | 0.0245 |
| category rep scaled | 1.2596 | 0.0295 |
| reward condition1 | 1.7317 | 0.0458 |
| block number scaled | 1.0951 | 0.0246 |
|
age scaled × category rep scaled |
1.0698 | 0.0252 |
|
age scaled × reward condition1 |
1.0792 | 0.0286 |
|
category rep scaled × reward condition1 |
1.3324 | 0.0312 |
|
age scaled × block number scaled |
1.0003 | 0.0227 |
|
category rep scaled × block number scaled |
1.0504 | 0.0245 |
|
reward condition1 × block number scaled |
1.0957 | 0.0246 |
|
age scaled × category rep scaled × reward condition1 |
1.0881 | 0.0257 |
|
(age scaled × category rep scaled) × block number scaled |
1.0288 | 0.0243 |
|
(age scaled × reward condition1) × block number scaled |
1.0027 | 0.0227 |
|
(category rep scaled × reward condition1) × block number scaled |
1.0722 | 0.0250 |
|
(age scaled × category rep scaled × reward condition1) × block number scaled |
1.0346 | 0.0244 |
| Random Effects | ||
| σ2 | 3.29 | |
| τ00 subject_id | 0.01 | |
| τ11 subject_id.re1.block_number_scaled | 0.01 | |
| τ11 subject_id.re1.reward_condition1 | 0.03 | |
| τ11 subject_id.re1.block_number_scaled_by_reward_condition1 | 0.01 | |
| ρ01 | ||
| ρ01 | ||
| ICC | 0.00 | |
| N subject_id | 151 | |
| Observations | 11267 | |
| Marginal R2 / Conditional R2 | 0.116 / 0.118 | |
| WSLS | ||
|---|---|---|
| Predictors | Odds Ratios | SE |
| age scaled | 1.1791 | 0.0378 |
| learning trial scaled | 1.1812 | 0.0180 |
| reward condition1 | 2.4283 | 0.0719 |
| block number scaled | 1.1835 | 0.0243 |
|
age scaled × learning trial scaled |
1.0659 | 0.0166 |
|
age scaled × reward condition1 |
1.1856 | 0.0351 |
|
learning trial scaled × reward condition1 |
1.3255 | 0.0202 |
|
age scaled × block number scaled |
0.9832 | 0.0204 |
|
learning trial scaled × block number scaled |
1.0061 | 0.0153 |
|
reward condition1 × block number scaled |
1.1665 | 0.0181 |
|
age scaled × learning trial scaled × reward condition1 |
1.0783 | 0.0168 |
|
(age scaled × learning trial scaled) × block number scaled |
1.0220 | 0.0158 |
|
(age scaled × reward condition1) × block number scaled |
1.0060 | 0.0159 |
|
(learning trial scaled × reward condition1) × block number scaled |
1.0192 | 0.0155 |
|
(age scaled × learning trial scaled × reward condition1) × block number scaled |
0.9944 | 0.0154 |
| Random Effects | ||
| σ2 | 3.29 | |
| τ00 subject_id | 0.11 | |
| τ11 subject_id.re1.reward_condition1 | 0.09 | |
| τ11 subject_id.re1.block_number_scaled | 0.03 | |
| ρ01 | ||
| ρ01 | ||
| ICC | 0.03 | |
| N subject_id | 151 | |
| Observations | 35986 | |
| Marginal R2 / Conditional R2 | 0.216 / 0.243 | |
| reward_condition | mean_WSLS | se_WSLS |
|---|---|---|
| Category-Predictive | 0.5956 | 0.01045 |
| Exemplar-Predictive | 0.5899 | 0.01063 |
| mean_delay | sd_delay | min_delay | max_delay |
|---|---|---|---|
| 7.132 | 1.3 | 6 | 10 |
| age_group | mean_delay | sd_delay | min_delay | max_delay |
|---|---|---|---|---|
| Children | 7.2 | 1.325 | 6 | 10 |
| Adolescents | 7.38 | 1.323 | 6 | 10 |
| Adults | 6.824 | 1.212 | 6 | 10 |
| AUC | ||
|---|---|---|
| Predictors | Estimates | SE |
| age scaled | 0.01 | 0.01 |
| reward condition1 | -0.01 | 0.00 |
| stim rep scaled | 0.04 | 0.00 |
|
age scaled × reward condition1 |
-0.00 | 0.00 |
|
age scaled × stim rep scaled |
-0.00 | 0.00 |
|
reward condition1 × stim rep scaled |
0.00 | 0.00 |
|
(age scaled × reward condition1) × stim rep scaled |
0.00 | 0.00 |
| Random Effects | ||
| σ2 | 0.00 | |
| τ00 subject_id | 0.01 | |
| ICC | 0.60 | |
| N subject_id | 151 | |
| Observations | 912 | |
| Marginal R2 / Conditional R2 | 0.162 / 0.662 | |
| AUC | ||
|---|---|---|
| Predictors | Estimates | SE |
| age scaled | 0.0159 | 0.0069 |
| reward condition1 | -0.0084 | 0.0024 |
| foil type1 | 0.0600 | 0.0024 |
|
age scaled × reward condition1 |
-0.0042 | 0.0024 |
| age scaled × foil type1 | 0.0021 | 0.0024 |
|
reward condition1 × foil type1 |
0.0013 | 0.0024 |
|
age scaled × reward condition1 × foil type1 |
0.0016 | 0.0024 |
| Random Effects | ||
| σ2 | 0.00 | |
| τ00 subject_id | 0.01 | |
| ICC | 0.63 | |
| N subject_id | 151 | |
| Observations | 608 | |
| Marginal R2 / Conditional R2 | 0.286 / 0.739 | |
| AUC | ||
|---|---|---|
| Predictors | Estimates | SE |
| age scaled | 0.0123 | 0.0069 |
| reward condition1 | -0.0083 | 0.0025 |
| foil type1 | 0.0598 | 0.0025 |
| memory delay scaled | -0.0148 | 0.0068 |
|
age scaled × reward condition1 |
-0.0038 | 0.0025 |
| age scaled × foil type1 | 0.0016 | 0.0025 |
|
reward condition1 × foil type1 |
0.0014 | 0.0025 |
|
age scaled × memory delay scaled |
-0.0137 | 0.0069 |
|
reward condition1 × memory delay scaled |
0.0021 | 0.0025 |
|
foil type1 × memory delay scaled |
-0.0026 | 0.0025 |
|
age scaled × reward condition1 × foil type1 |
0.0019 | 0.0025 |
|
(age scaled × reward condition1) × memory delay scaled |
0.0013 | 0.0025 |
|
(age scaled × foil type1) × memory delay scaled |
-0.0020 | 0.0025 |
|
(reward condition1 × foil type1) × memory delay scaled |
-0.0001 | 0.0025 |
|
(age scaled × reward condition1 × foil type1) × memory delay scaled |
0.0021 | 0.0025 |
| Random Effects | ||
| σ2 | 0.00 | |
| τ00 subject_id | 0.01 | |
| ICC | 0.62 | |
| N subject_id | 151 | |
| Observations | 604 | |
| Marginal R2 / Conditional R2 | 0.312 / 0.738 | |
| est | ||
|---|---|---|
| Predictors | Estimates | SE |
| abstraction1 | -0.4633 | 0.0371 |
| reward condition1 | 0.2448 | 0.0371 |
| age scaled | 0.1835 | 0.0507 |
|
abstraction1 × reward condition1 |
0.3241 | 0.0371 |
| abstraction1 × age scaled | -0.0723 | 0.0371 |
|
reward condition1 × age scaled |
0.0542 | 0.0371 |
|
(abstraction1 × reward condition1) × age scaled |
0.0567 | 0.0371 |
| Random Effects | ||
| σ2 | 0.83 | |
| τ00 subject_id | 0.18 | |
| ICC | 0.18 | |
| N subject_id | 151 | |
| Observations | 604 | |
| Marginal R2 / Conditional R2 | 0.296 / 0.422 | |
| est | ||
|---|---|---|
| Predictors | Estimates | SE |
| reward condition1 | -0.0794 | 0.0421 |
| Random Effects | ||
| σ2 | 0.53 | |
| τ00 subject_id | 0.59 | |
| ICC | 0.52 | |
| N subject_id | 151 | |
| Observations | 302 | |
| Marginal R2 / Conditional R2 | 0.006 / 0.526 | |
| est | ||
|---|---|---|
| Predictors | Estimates | SE |
| reward condition1 | 0.5689 | 0.0509 |
| Random Effects | ||
| σ2 | 0.78 | |
| τ00 subject_id | 0.20 | |
| ICC | 0.20 | |
| N subject_id | 151 | |
| Observations | 302 | |
| Marginal R2 / Conditional R2 | 0.250 / 0.400 | |
## Mixed Model Anova Table (Type 3 tests, S-method)
##
## Model: total_points ~ age_scaled * beta_scaled * abstraction * reward_condition +
## Model: (1 | subject_id)
## Data: beta_ests_points
## Effect df F
## 1 age_scaled 1, 178.00 24.91 ***
## 2 beta_scaled 1, 529.48 19.81 ***
## 3 abstraction 1, 462.63 0.29
## 4 reward_condition 1, 447.92 0.56
## 5 age_scaled:beta_scaled 1, 533.11 4.66 *
## 6 age_scaled:abstraction 1, 463.17 1.14
## 7 beta_scaled:abstraction 1, 499.31 1.72
## 8 age_scaled:reward_condition 1, 448.06 0.17
## 9 beta_scaled:reward_condition 1, 459.48 0.98
## 10 abstraction:reward_condition 1, 455.16 1.90
## 11 age_scaled:beta_scaled:abstraction 1, 506.72 0.31
## 12 age_scaled:beta_scaled:reward_condition 1, 456.20 0.84
## 13 age_scaled:abstraction:reward_condition 1, 452.91 0.15
## 14 beta_scaled:abstraction:reward_condition 1, 472.29 46.96 ***
## 15 age_scaled:beta_scaled:abstraction:reward_condition 1, 471.98 0.01
## p.value
## 1 <.001
## 2 <.001
## 3 .591
## 4 .455
## 5 .031
## 6 .286
## 7 .190
## 8 .681
## 9 .322
## 10 .169
## 11 .576
## 12 .360
## 13 .700
## 14 <.001
## 15 .906
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '+' 0.1 ' ' 1
##
## Call:
## lm(formula = total_points ~ est, data = beta_ests_points_c_c)
##
## Residuals:
## Min 1Q Median 3Q Max
## -279.190 -35.267 4.625 38.436 106.329
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 101.430 7.660 13.241 < 2e-16 ***
## est 38.762 4.837 8.013 2.99e-13 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 56.58 on 149 degrees of freedom
## Multiple R-squared: 0.3012, Adjusted R-squared: 0.2965
## F-statistic: 64.21 on 1 and 149 DF, p-value: 2.986e-13
##
## Call:
## lm(formula = total_points ~ est, data = beta_ests_points_e_c)
##
## Residuals:
## Min 1Q Median 3Q Max
## -267.742 -34.803 7.474 43.234 123.277
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 133.74 8.64 15.480 <2e-16 ***
## est 10.84 4.37 2.482 0.0142 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 66.33 on 149 degrees of freedom
## Multiple R-squared: 0.03969, Adjusted R-squared: 0.03324
## F-statistic: 6.158 on 1 and 149 DF, p-value: 0.01419
##
## Call:
## lm(formula = total_points ~ est, data = beta_ests_points_c_e)
##
## Residuals:
## Min 1Q Median 3Q Max
## -324.49 -44.22 2.05 55.39 193.40
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 158.021 7.093 22.28 <2e-16 ***
## est -6.648 6.924 -0.96 0.339
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 86.48 on 149 degrees of freedom
## Multiple R-squared: 0.006149, Adjusted R-squared: -0.0005209
## F-statistic: 0.9219 on 1 and 149 DF, p-value: 0.3385
##
## Call:
## lm(formula = total_points ~ est, data = beta_ests_points_e_e)
##
## Residuals:
## Min 1Q Median 3Q Max
## -304.605 -36.510 -4.854 48.317 219.487
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 56.772 13.106 4.332 2.71e-05 ***
## est 58.972 6.908 8.537 1.47e-14 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 71.08 on 149 degrees of freedom
## Multiple R-squared: 0.3285, Adjusted R-squared: 0.324
## F-statistic: 72.88 on 1 and 149 DF, p-value: 1.468e-14
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: AUC ~ age_scaled * points_scaled * abstraction * reward_condition +
## (1 | subject_id)
## Data: data
##
## REML criterion at convergence: -1249
##
## Scaled residuals:
## Min 1Q Median 3Q Max
## -3.4573 -0.5178 0.0325 0.6283 2.5841
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject_id (Intercept) 0.005858 0.07654
## Residual 0.003619 0.06016
## Number of obs: 608, groups: subject_id, 151
##
## Fixed effects:
## Estimate Std. Error
## (Intercept) 7.710e-01 6.843e-03
## age_scaled 1.277e-02 6.865e-03
## points_scaled 8.960e-03 4.357e-03
## abstraction1 6.032e-02 2.607e-03
## reward_condition1 -6.419e-03 2.675e-03
## age_scaled:points_scaled -3.026e-04 4.321e-03
## age_scaled:abstraction1 4.972e-04 2.655e-03
## points_scaled:abstraction1 5.044e-03 2.941e-03
## age_scaled:reward_condition1 -2.624e-03 2.755e-03
## points_scaled:reward_condition1 -3.825e-03 3.593e-03
## abstraction1:reward_condition1 -1.082e-04 2.607e-03
## age_scaled:points_scaled:abstraction1 1.693e-04 2.780e-03
## age_scaled:points_scaled:reward_condition1 -4.781e-03 3.312e-03
## age_scaled:abstraction1:reward_condition1 -9.863e-04 2.655e-03
## points_scaled:abstraction1:reward_condition1 6.957e-03 2.941e-03
## age_scaled:points_scaled:abstraction1:reward_condition1 4.803e-03 2.780e-03
## df t value
## (Intercept) 1.532e+02 112.665
## age_scaled 1.554e+02 1.859
## points_scaled 5.791e+02 2.057
## abstraction1 4.379e+02 23.134
## reward_condition1 4.485e+02 -2.400
## age_scaled:points_scaled 5.898e+02 -0.070
## age_scaled:abstraction1 4.379e+02 0.187
## points_scaled:abstraction1 4.379e+02 1.715
## age_scaled:reward_condition1 4.531e+02 -0.953
## points_scaled:reward_condition1 5.070e+02 -1.065
## abstraction1:reward_condition1 4.379e+02 -0.041
## age_scaled:points_scaled:abstraction1 4.379e+02 0.061
## age_scaled:points_scaled:reward_condition1 4.987e+02 -1.443
## age_scaled:abstraction1:reward_condition1 4.379e+02 -0.372
## points_scaled:abstraction1:reward_condition1 4.379e+02 2.366
## age_scaled:points_scaled:abstraction1:reward_condition1 4.379e+02 1.728
## Pr(>|t|)
## (Intercept) <2e-16 ***
## age_scaled 0.0649 .
## points_scaled 0.0402 *
## abstraction1 <2e-16 ***
## reward_condition1 0.0168 *
## age_scaled:points_scaled 0.9442
## age_scaled:abstraction1 0.8515
## points_scaled:abstraction1 0.0870 .
## age_scaled:reward_condition1 0.3413
## points_scaled:reward_condition1 0.2876
## abstraction1:reward_condition1 0.9669
## age_scaled:points_scaled:abstraction1 0.9515
## age_scaled:points_scaled:reward_condition1 0.1496
## age_scaled:abstraction1:reward_condition1 0.7104
## points_scaled:abstraction1:reward_condition1 0.0184 *
## age_scaled:points_scaled:abstraction1:reward_condition1 0.0848 .
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
| AUC | ||
|---|---|---|
| Predictors | Estimates | SE |
| age scaled | 0.0128 | 0.0069 |
| points scaled | 0.0090 | 0.0044 |
| abstraction1 | 0.0603 | 0.0026 |
| reward condition1 | -0.0064 | 0.0027 |
|
age scaled × points scaled |
-0.0003 | 0.0043 |
| age scaled × abstraction1 | 0.0005 | 0.0027 |
|
points scaled × abstraction1 |
0.0050 | 0.0029 |
|
age scaled × reward condition1 |
-0.0026 | 0.0028 |
|
points scaled × reward condition1 |
-0.0038 | 0.0036 |
|
abstraction1 × reward condition1 |
-0.0001 | 0.0026 |
|
age scaled × points scaled × abstraction1 |
0.0002 | 0.0028 |
|
age scaled × points scaled × reward condition1 |
-0.0048 | 0.0033 |
|
age scaled × abstraction1 × reward condition1 |
-0.0010 | 0.0027 |
|
points scaled × abstraction1 × reward condition1 |
0.0070 | 0.0029 |
|
age scaled × points scaled × abstraction1 × reward condition1 |
0.0048 | 0.0028 |
| Random Effects | ||
| σ2 | 0.00 | |
| τ00 subject_id | 0.01 | |
| ICC | 0.62 | |
| N subject_id | 151 | |
| Observations | 608 | |
| Marginal R2 / Conditional R2 | 0.303 / 0.734 | |
| AUC | ||
|---|---|---|
| Predictors | Estimates | SE |
| age scaled | 0.0097 | 0.0068 |
| beta scaled | 0.0180 | 0.0047 |
| abstraction1 | 0.0610 | 0.0025 |
| reward condition1 | -0.0052 | 0.0026 |
| age scaled × beta scaled | 0.0159 | 0.0055 |
| age scaled × abstraction1 | 0.0038 | 0.0025 |
|
beta scaled × abstraction1 |
-0.0044 | 0.0027 |
|
age scaled × reward condition1 |
-0.0003 | 0.0026 |
|
beta scaled × reward condition1 |
-0.0097 | 0.0031 |
|
abstraction1 × reward condition1 |
-0.0001 | 0.0025 |
|
age scaled × beta scaled × abstraction1 |
-0.0041 | 0.0030 |
|
age scaled × beta scaled × reward condition1 |
-0.0075 | 0.0033 |
|
age scaled × abstraction1 × reward condition1 |
0.0011 | 0.0025 |
|
beta scaled × abstraction1 × reward condition1 |
-0.0006 | 0.0027 |
|
age scaled × beta scaled × abstraction1 × reward condition1 |
0.0044 | 0.0030 |
| Random Effects | ||
| σ2 | 0.00 | |
| τ00 subject_id | 0.01 | |
| ICC | 0.62 | |
| N subject_id | 151 | |
| Observations | 608 | |
| Marginal R2 / Conditional R2 | 0.322 / 0.741 | |
| AUC | ||
|---|---|---|
| Predictors | Estimates | SE |
| age scaled | 0.0196 | 0.0072 |
| beta scaled | 0.0000 | 0.0043 |
| abstraction1 | 0.0593 | 0.0029 |
| reward condition1 | -0.0076 | 0.0034 |
| age scaled × beta scaled | -0.0017 | 0.0042 |
| age scaled × abstraction1 | 0.0025 | 0.0029 |
|
beta scaled × abstraction1 |
0.0070 | 0.0029 |
|
age scaled × reward condition1 |
-0.0029 | 0.0034 |
|
beta scaled × reward condition1 |
0.0001 | 0.0036 |
|
abstraction1 × reward condition1 |
-0.0019 | 0.0029 |
|
age scaled × beta scaled × abstraction1 |
-0.0012 | 0.0029 |
|
age scaled × beta scaled × reward condition1 |
-0.0070 | 0.0036 |
|
age scaled × abstraction1 × reward condition1 |
0.0014 | 0.0029 |
|
beta scaled × abstraction1 × reward condition1 |
0.0022 | 0.0029 |
|
age scaled × beta scaled × abstraction1 × reward condition1 |
-0.0023 | 0.0029 |
| Random Effects | ||
| σ2 | 0.00 | |
| τ00 subject_id | 0.01 | |
| ICC | 0.64 | |
| N subject_id | 151 | |
| Observations | 608 | |
| Marginal R2 / Conditional R2 | 0.290 / 0.741 | |
| Estimate | Std. Error | t value | Pr(>|t|) | |
|---|---|---|---|---|
| (Intercept) | 0.7336 | 0.09476 | 7.742 | 1.38e-12 |
| age_scaled | -0.2009 | 0.09508 | -2.113 | 0.03625 |
| Observations | Residual Std. Error | \(R^2\) | Adjusted \(R^2\) |
|---|---|---|---|
| 151 | 1.164 | 0.0291 | 0.02258 |
| Estimate | Std. Error | t value | Pr(>|t|) | |
|---|---|---|---|---|
| (Intercept) | -0.6771 | 0.07922 | -8.547 | 1.39e-14 |
| age_scaled | 0.007934 | 0.07949 | 0.09982 | 0.9206 |
| Observations | Residual Std. Error | \(R^2\) | Adjusted \(R^2\) |
|---|---|---|---|
| 151 | 0.9735 | 6.686e-05 | -0.006644 |